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Finding the Fourth Proportional to 6,934.64, 9,569.97 and 4,246.29

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Solution

The fourth proportional to 6,934.64, 9,569.97 and 4,246.29 is: 5,859.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,934.64 : 9,569.97 = 4,246.29 : x
  2. Step 2: Convert to fraction form
    6,934.64/9,569.97 = 4,246.29/x
  3. Step 3: Cross multiply
    6,934.64x = 9,569.97 × 4,246.29
  4. Step 4: Simplify right side
    6,934.64x = 40,636,867.91
  5. Step 5: Solve for x
    x = 40,636,867.91/6,934.64
  6. Step 6: Final answer
    x = 5,859.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.